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Finding the Third Proportional to 15,329.25 and 33,006.66

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Solution

The third proportional to 15,329.25 and 33,006.66 is: 71,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,329.25 : 33,006.66 = 33,006.66 : x
  2. Step 2: Convert to fraction form
    15,329.25/33,006.66 = 33,006.66/x
  3. Step 3: Cross multiply
    15,329.25x = 33,006.66 × 33,006.66
  4. Step 4: Simplify right side
    15,329.25x = 1,089,439,356.81
  5. Step 5: Solve for x
    x = 1,089,439,356.81/15,329.25
  6. Step 6: Final answer
    x = 71,069.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.